LCM of 962, 629, 945, 598, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 629, 945, 598, 971 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 962, 629, 945, 598, 971. So, keep reading to learn more.
Given numbers are 962,629,945,598,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,629,945,598,971 is 345146018490.
Find LCM of 962,629,945,598,971 with Prime Factorization
| 2 | 962, 629, 945, 598, 971 |
| 13 | 481, 629, 945, 299, 971 |
| 37 | 37, 629, 945, 23, 971 |
| 1, 17, 945, 23, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 1 x 17 x 945 x 23 x 971 = 345146018490
Therefore, the lowest common multiple of 962,629,945,598,971 is 345146018490.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
962 x 629 x 945 x 598 x 971 = 332030469787380
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
962 : 1, 2, 13, 26, 37, 74, 481, 962
629 : 1, 17, 37, 629
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
598 : 1, 2, 13, 23, 26, 46, 299, 598
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,629,945,598,971, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
629:17x 37
945:3x 3x 3x 5x 7
598:2x 13x 23
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 37 = 962
Therefore, the value for common factors is 962.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 332030469787380/(1x962)
LCM = 332030469787380/962
LCM = 345146018490
Thus, we can understand that the LCM of 962,629,945,598,971 is 345146018490.
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FAQs on LCM of 962, 629, 945, 598, 971
1. What is the LCM of 962, 629, 945, 598, 971?
Answer: LCM of 962, 629, 945, 598, 971 is 345146018490.
2. How to calculate the LCM of 962, 629, 945, 598, 971?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 962, 629, 945, 598, 971.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.